Not at all. The unreliability of one trust model does not mean it is worthless, it means it needs to be bolstered and complemented by extra methods.
The point in using a CA is so users can access the site without browser warnings, and to raise the bar (slightly) for attackers. Which doesn’t mean that’s enough on its own.
Do you really believe that? With all the resources and pressure that such an agency has to throw at the problem?
Not to mention that persuading a CA to co-operate is not the only option (hacking, infiltration, secret legal orders).
Not to mention that an attacker only needs to compromise one of the huge number of CAs in order to be successful.
Take a look at how many there are:
Some of those are probably owned by snooping agencies, never mind compromised.
I repeat, all it takes is one of them to be hacked, bribed, infiltrated, court ordered or pressured to undermine the whole thing.